I'm just noticing that I never attempted to mount a floppy drive on Tiny Core but I'm pretty sure needed modules come with the base system and it should be supported out of the box. (I really don't need it but I could install a floppy drive to check things)
Nevertheless, I think providing information on how you have attempted to access your floppy drive, the commands you have used, and and what error messages that might have came up, would make the next reader realize more quickly what the problem might be.